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Nine identical cubes, each with edge 3 cm, are joined in a straight line to form a cuboid. What is the total surface area (in cm²) of the resulting cu
Question

Nine identical cubes, each with edge 3 cm, are joined in a straight line to form a cuboid. What is the total surface area (in cm²) of the resulting cuboid?

A.

342

B.

541

C.

298

D.

448

Correct option is A

Given:
Number of cubes = 9
Edge of each cube (a) = 3 cm
Formula Used:
TSA of cuboid = 2(lb + bh + hl)
Solution:
When 9 cubes are joined in a line:
Length (l) = 9 \times 3 = 27 cm
Breadth (b) = 3 cm
Height (h) = 3 cm
TSA = 2(27×3+3×3+3×27)2(27 \times 3 + 3 \times 3 + 3 \times 27)​​
TSA = 2(81 + 9 + 81) = 2(171) = 342 cm²
So the correct answer is (A).

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